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66538818960 = 24351935572579
BaseRepresentation
bin111101111110000001…
…011100110110010000
320100202012112020002020
4331332001130312100
52042232414201320
650322325451440
74543615425555
oct757601346620
9210665466066
1066538818960
1126245479579
1210a8b870b80
136375350133
143313080a2c
151ae6820940
hexf7e05cd90

66538818960 has 160 divisors (see below), whose sum is σ = 207791879040. Its totient is φ = 17613225984.

The previous prime is 66538818959. The next prime is 66538819003. The reversal of 66538818960 is 6981883566.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 66538818894 and 66538818903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25798951 + ... + 25801529.

It is an arithmetic number, because the mean of its divisors is an integer number (1298699244).

Almost surely, 266538818960 is an apocalyptic number.

66538818960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66538818960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103895939520).

66538818960 is an abundant number, since it is smaller than the sum of its proper divisors (141253060080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66538818960 is a wasteful number, since it uses less digits than its factorization.

66538818960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 66538818960 in words is "sixty-six billion, five hundred thirty-eight million, eight hundred eighteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 193 240 386 557 579 772 965 1114 1158 1544 1671 1930 2228 2316 2579 2785 2895 3088 3342 3860 4456 4632 5158 5570 5790 6684 7720 7737 8355 8912 9264 10316 11140 11580 12895 13368 15440 15474 16710 20632 22280 23160 25790 26736 30948 33420 38685 41264 44560 46320 51580 61896 66840 77370 103160 107501 123792 133680 154740 206320 215002 309480 322503 430004 497747 537505 618960 645006 860008 995494 1075010 1290012 1436503 1493241 1612515 1720016 1990988 2150020 2488735 2580024 2873006 2986482 3225030 3981976 4300040 4309509 4977470 5160048 5746012 5972964 6450060 7182515 7466205 7963952 8600080 8619018 9954940 11492024 11945928 12900120 14365030 14932410 17238036 19909880 21547545 22984048 23891856 25800240 28730060 29864820 34476072 39819760 43095090 57460120 59729640 68952144 86190180 114920240 119459280 172380360 277245079 344760720 554490158 831735237 1108980316 1386225395 1663470474 2217960632 2772450790 3326940948 4158676185 4435921264 5544901580 6653881896 8317352370 11089803160 13307763792 16634704740 22179606320 33269409480 66538818960